Posted by Julie on .
Earth's moon is 3.8 X 10 8 m from the planet and is in freefall. Acceleration due to the Earth's gravity acting on the moon is 2.70X 10 3. What is the moon's speed? How long does it take to make a complete orbit?

Physics 
drwls,
I can't believe they did not give you the units (dimensions) of acceleration along the number. In physics, that is a nono. I will assume the units are m/s^2.
The acceleration of the moon toward the Earth is V^2/R = 2.7*10^3 m/s^2
Since they told you the value of R, you can solve for V.
For the period P of one revolution can be obtained from for
V P = 2 pi R
P should turn out to be about 27 days. A month is a bit longer because the moon must travel more than one revolution to get back to the same phase, as a result of the Earthmoon system's motion around the sun